The present invention is concerned with large-scale photovoltaic (PV) plants subject to non-uniform solar irradiance and/or partial shading. According to the invention, a mathematical model of a PV generator with a plurality of PV modules as basic components arranged in strings and electrically connected to an inverter is built. A lay-out model comprises component dimension and PV generator configuration data. The PV generator model is used in conjunction with solar irradiance and temperature forecasts, derived from advanced sensors or forecasting systems, to describe the electrical properties of the PV generator. Quantities that may be determined or predicted include a Maximum Power Point (MPP) or the voltage region in which such point may be located, output power, ramp rate, maximum power drop, and duration of intermittency.
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